Diddy Rape Accuser Speaks Out After New Lawsuit, Live Stream With Gloria Allred

Diddy is being sued for rape and now his latest accuser and her attorney, Gloria Allred, are speaking out against the music mogul.

Gloria and Diddy's the accuser, Thalia Graves, held a news conference Tuesday in L.A. ... just hours after she filed a lawsuit against Diddy, alleging he raped her back in 2001 at the Bad Boy Records studio in New York City.

She almost immediately started sobbing as she told the media about the trauma -- physical and mental -- she says she's suffered since the alleged rape.

TMZ broke the story ... Graves claims she was 25 years old and dating one of Diddy's Bad Boy executives in '01 when Diddy lured her to his personal lounge, and office and raped her on a pool table after slipping something in her drink that altered her consciousness.

In her suit, Graves also claimed Diddy's head of security raped her too ... and she says the sexual abuse was filmed with a handheld camera and later shown to her then-boyfriend and other men.

Graves claims she's suffered from suicidal thoughts since the alleged rape ... and she says her wounds were reopened in November when she learned of the alleged tape's existence in the wake of Cassie's lawsuit against Diddy.